Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family
| dc.creator | Avila, Artur | |
| dc.creator | Moreira, Carlos Gustavo | |
| dc.date | 2001-05-27 | |
| dc.date.accessioned | 2026-07-07T04:41:52Z | |
| dc.date.available | 2026-07-07T04:41:52Z | |
| dc.description | We consider quasisymmetric reparametrizations of the parameter space of the quadratic family. We prove that the set of quadratic maps which are either regular or Collet-Eckmann with polynomial recurrence of the critical orbit has full Lebesgue measure. (The intent of this work is just to be a rigorous reference for the companion preprint Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative. It is based on the LaTeX file of the paper Statistical properties of unimodal maps: the quadratic family. The proofs are very similar and in many places differ just by change of constants.) | |
| dc.description | 34 pages, no figures, first version | |
| dc.identifier | https://arxiv.org/abs/math/0105222 | |
| dc.identifier | http://arxiv.org/abs/math/0105222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61541 | |
| dc.subject | Dynamical Systems | |
| dc.title | Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family | |
| dc.type | text |